Use Triangle ABC to find the trigonometric ratio.
tan B =
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[tex] \tan(B) = \frac{ \sin(B) }{ \cos(B) } = \frac{ \frac{8}{17} }{ \frac{15}{17} } = \frac{8}{15} \\ [/tex]
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The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The value of Tan(B) will be equal to 8/15.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
The value of Tan(B) will be the ratio of the sides AC and BC. Therefore, the value of Tan(B) can be written as,
Tan(B) = AC / BC
Tan(B) = 8/15
Hence, the value of Tan(B) will be equal to 8/15.
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
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Solve the proportion for x.
StartFraction two-thirds over 5 EndFraction = StartFraction x over 15 EndFraction
x = 2
x = 3
x = 5
x = 10
Answer:
2
Step-by-step explanation:
had that answer on eg
Answer:
x=2
Step-by-step explanation:
find the sum of the product of 5 and 0.35 and the product of 0.75 and 8
Answer:
sum of the product 5+0.35=5.35
sum if product 0.75+8=8.75
Answer:
Step-by-step explanation:
product of 5 and 0.35 = 1.75
product of 0.75 and 8 = 6
their sum = 1.75 + 6 = 7.75
Hope this helps
plz mark as brainliest!!!!!!!!
Which statement best explains the value of 16 − (−3)?
The additive inverse of −3 is −3, so 16 − (−3) = 19.
The additive inverse of −3 is −3, so 16 − (−3) = 13.
The additive inverse of −3 is +3, so 16 − (−3) = 19.
The additive inverse of −3 is +3, so 16 − (−3) = 13.
Answer:
The additive inverse of −3 is +3, so 16 − (−3) = 19
negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units
Because it is 3 units to the left of 2 on a horizontal number line
Step-by-step explanation:
The answers are the explanation.
Comment on the second question
Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.
Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.
Comment on choosing 'word' answers
In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.
For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.
have a good day hope this helped!
if f(x)= x^2 -2 and g(x)=x-3, what is (f o g)(X)?
x^2 +7
x^2 -6x +7
x^2 -3x +7
x^2 -5
Answer:
Step-by-step explanation:
g(x)= x - 3
f(x - 3)= (x - 3)^2 - 2
x^2 - 6x + 9 - 2 = x^2 - 6x + 7
b is the answer
Round 8.1785 to the nearest hundredth
Answer:
I believe its 8.18 hope I helped. =)
Answer:
8.1785 to the nearest hundredth is 8.18.
Step-by-step explanation:
1. I left 8. and change the .1785 because 17 is the hundredths place. Next I took the .1785 and rounded it to .18 because the 85 is above 50.
2. I put the two numbers together (8. & .18) and I got 8.18.
I hope this helps:)
who can answer this gets all my points, and I'm not giving you five.
Got it!?
answer!
please....plz
Answer:
Spaces are as below:
1. 122. 36 (as 12*3= 36)3. 12 (as 12/1= 12)4. 12 (as 36/3= 12)5. Equal (or same whatever is close)6. Is7. y = 12xRon was asked to determine whether f( x) = 1/x is even, odd, or neither
Answer:
odd
Step-by-step explanation:
Joana's printer can print 96 black and white pages in 4 minutes. If the ratio of pages printed to minutes is constant, how many minutes will it take the printer to print 240 pages
Answer:
10 minutes
Step-by-step explanation:
Madison wants to bake 5 cakes for the church
festival. She needs 1 3/4 cups of flour and 2
1/2 cups of sugar for each cake. How much
sugar will she need for the 5 cakes?
Answer:She will need 12 and 1/2 cups of sugar
Step-by-step explanation:
Just set up a table and multiply 2 1/2 by 5 and you get 12 1/2
I am selling 900 yearbooks, making a total of $2820. The large yearbook pages cost $4 and the small cost $2.50. Find how many of each I sold. HELPPP PLS
Answer:
number of large year book sold = 380
number of small year book sold =520
Step-by-step explanation:
Let the no. of large year book pages be x
given that
cost of 1 large year book = $4
cost of x large year book = x*cost of 1 large year book = $4x
Let the no. of small year book pages be y
given that
cost of 1 small year book = $2.5
cost of y small year book = y*cost of 1 large year book = $2.5y
also,
total year books sold were 900
no. of small year book + no. of small year book = 900
x + y = 900
y = 900 - x ------------------>1
also total money made by selling large and small year book = $2820
cost of x small year book + cost of x large year book = 2820
4x + 2.5y = 2820
using y = 900 - x in above equation
4x + 2.5(900-x) = 2820
4x + 2250 - 2.5x = 2820
1.5x = 2820-2250 = 570
x = 570/1.5 = 380
Thus,
number of large year book sold = 380
number of small year book sold = 900-380 = 520
Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ, choose two or more points on the line and find the images of the points.)
Answer:
[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]
Step-by-step explanation:
Two points (1, -1) and (0, 6) are lying on the given line.
Rule to find the coordinates of a point by the rotation of 90° clockwise is,
(x, y) → (y, -x)
Therefore, image points of (1, -1) and (0, 6) will be,
(1, -1) → (-1, -1)
(0, 6) → (6, 0)
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (-1, -1) and (6, 0) will be,
m = [tex]\frac{0+1}{6+1}[/tex] = [tex]\frac{1}{7}[/tex]
Equation of the line passing through (6, 0) and slope = [tex]\frac{1}{7}[/tex]
y - y' = m(x - x')
y - 0 = [tex]\frac{1}{7}(x - 6)[/tex]
[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]
What is the product of 3/4 and6/ 7?
O -7/8
O -9/14
O 9/14
O 7/8
Answer:
Third choice. 9/14
Step-by-step explanation:
3/4 x 6/7 = 18/28 = 9/14
Which statement is true about the ordered pair (3 , 4)?
Answer:
Move three units left on the x axis and 4 units up on the y axis from the origin
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
That is because ordered pairs are written as (x,y) and for the ordered pair (3,4), 3 is x and 4 is y. The x-axis is the horizontal (left and right) line, the y-axis is the vertical line (up and down). The numbers are positive, so you go 3 units right and 4 units up.
What is the value of x
Answer:
x = 32 :)
Step-by-step explanation:
20+4x+x=180
5x=160
160/5=32
brainliest pls if correcto
Angle pair equations!! 10 points :)
Answer:
78°
Step-by-step explanation:
(I'm assuming that segment AB is a straight line {180 degrees})
1. since angles DCA and DCB equals 180°, we can set up the equation 4x+2+3x+3=180.
2. if you solve that, you'll get x=25.
3. plug 25 (x) into 3x+3 -> 3(25)+3
4. 3(25)+3=78
5. answer: 78°
Please help this fairly quick
Answer:
A) true
B) false
c) true
d) true
Step-by-step explanation:
A) angles 7 and 6 are vertical angles, which means they're equal.
so, A is True.
B) angles 7 and 5 are supplementary angles, which means they add up to 180. 135 + 55 is 190. so B is False
C) angle 7 is equal to angle 3, which is supplementary to angle 1.
so, 55 + angle 1 = 180
55 + angle1 = 180
subtract 55 from both sides of the equation
angle1 = 180 - 55
angle 1 = 125.
angles a and 4 are vertical angles, so they are equal. if you add them together that would be 125 + 125
125 + 125 = 250
so, C is True
D) angles 1 and 6 are supplementary, and angles 2 and 7. since they both add together to make 180, D is True
42dx - 7dx = 70f solve for x
Pete bought a 16-ounce box of cereal for $3.58. What was the cost per ounce?
Answer:
Around 0.22 dollars or 22 cents
Step-by-step explanation:
We know that per 16 ounces it costs 3.58. We want the ounces to equal zero. To do that, we divide 16 by 0, but to keep it equal we need to divide 3.58 by 16. So...
16/16 = 1
3.58/16 = 0.22375
This means that every ounce of cereal, it costs 0.22375 dollars, but money can't go in the thousandths place, so we must round it to the hundredths place, which becomes 0.22 dollars, or 22 cents. I hope this helps and I hope it's not wrong but I don't think it is.
I really need help with this !!
Diragio Lawn Care cuts 42 lawns every week. Each lawn uses 316 of a tank of gas when it is cut (on average).
Part A:
If the lawnmower had no gas at the start of the week, how many times would it have to be completely filled during the week? Show your work.
Part B:
The cost for a full tank of gas in the lawnmower is $20. How much does it cost (in lawnmower fuel only) to mow one average lawn? Show
Answer:
dez nuts ha gotem
Step-by-step explanation:
boi u thought
A car travels 35 miles in 3 hours. At this rate, how many miles will the car travel in ½ hour? (Convert answer to a fraction)
Answer:
5 5/6 miles
Step-by-step explanation:
There are a few ways to do this, but one way is to find out how many miles per hour the car can travel. For this we do 35/3(distance/time) which is 11 2/3 mph. Now, to find half an hour we can divided 11 2/3 divided by 2, which is
5 5/6 miles.
PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST)
ou are traveling to Japan and need Japanese Yen (JPY). How much JPY could you get for $100 USD if the exchange rate is USD/JPY 0.9333 ?
¥99.07
¥93.33
¥100.93
Answer:
93.33
Step-by-step explanation:
You just multiply the $100 by the change rate to get the new currency
Answer:
107.15 :)
Step-by-step explanation:
You are traveling to Japan and need Japanese Yen (JPY)
We need to convert $100 USD to JPY
If conversion rate is $1USD = 0.9333JPY
The value of $1 USD is 0.9333 JPY
Let in $100 USD get x JPY
100/.9333
=107.15
The diagram shows a cone. Given that the volume of the cone is 21 m’and the height of the cone is
12 cm. Form a quadratic equation based on the given information.
Please help me..
Answer:
I don't know really sorry friend I am so sorry I was just wondering for answers
HELPPPPPP!!! I NEED HELP PLEASEEEE
Answer:
A
Step-by-step explanation:
im a 100% sure it is A
tttttttt
Answer:
yes it is a
Step-by-step explanation:
hahahah i dont know how to explain this i just guessed lol
uhh I need help, yes ik I’m dumb
Answer:
[tex]1\frac{7}{9}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{3}[/tex] is the same as 4/3 so you'd be multiplying 4/3 x 4/3 so you multiply straight across to get 16/9 when you simplify you are left with 1 7/9
Hope that helps and have a great day!
Help!! An object is moving at a speed of 3 yards per month. Express this speed in
centimeters per day. Round your answer to the nearest tenth.
Which expression is equivalent to x^-5/3?
Answer:
The one you selected is true <3
Step-by-step explanation:
Answer:
The one you selected is true I agree! :D
Step-by-step explanation:
What is the slope of the line that passes through the points (9,8) and -15,-16)? Write your answer in simplest form.
Answer:
m=1
Step-by-step explanation:
See the attached above.
Good luck :')
Write the coordinates of point H' after the following translation:
1) translation: 6 units left and 4 units up
Answer:
I= (-4, 2)
G= (-1,-1)
H= (-1,3)
Step-by-step explanation:
Translation of the object= 6 units left and 4 units up.
Any number divisible by 3 is divisible by 6.
A.) True
B.) False, counterexample of 12
C.) False, counterexample of 15
Answer:
C.) False, counterexample of 15
1) 15 is divisible by 3 but not by 6
we know that 15 = 3*5 or 15/3=5, So 15 IS DIVISIBLE BY 3
BUT 15/6=2.5 THIS PROVES 15 IS NOT PERFECTLY DIVISIBLE BY 6
2) 12= 3*4 & 6*2
SO 12 IS PERFECTLY DIVISIBLE BY 3 & 6 BUT 15 IS NOT. THUS THE ANSWER IS 'C'
Answer:
c. False, counterexample of 15
Step-by-step explanation:
This statement is entirely incorrect although it can work vice versa meaning all multiples of 6 will be divisible by 3